It may also be useful to note that you can make assumptions about the domain using the assume function since a given function f(x) may not have an inverse on its entire domain, or it may have different inverse functions on different subdomains:

It may also be useful to note that you can make assumptions about the domain using the assume function since a given function f(x) may not have an inverse on its entire domain, or it may have different inverse functions on different subdomains: